4 problems

Over-regularization conjecture. The lower bound imposed on the $\mathcal{A}_i$ in the regularization analysis could be replaced by requiring the $\mathcal{A}_i$ to be larger than t…

Let $\sigma_1\geq\sigma_2\geq\cdots$ be the singular values relevant to the low-rank approximation problem, let $k$ be the target rank, and let $b$ be the block size with…

Two-step convergence conjecture. The method has two steps: discovery of the active set and Krylov convergence.

Arnoldi-type rational Lanczos conjecture. Under standard assumptions on finite-precision arithmetic, the rational Lanczos iteration satisfies an Arnoldi-type relation similar to th…